Four spheres of diameter 2a and mass M each are placed with their centres at four corners of a square of side b. Calculate the moment of inertia of the system about one side of the square taken as its axis ?

Here Icm for any sphere is Icm=25Ma2
If one side of square is taken as axis then moment of inertia about this axis is given by
I=Icm+ Mb2I  =25Ma2+Mb2 ..........(1) for a sphere about axis of rotation
Hence required moment of inertia is

  • 134
What are you looking for?